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742957056 = 213333359
BaseRepresentation
bin101100010010001…
…010000000000000
31220210000010111000
4230102022000000
53010144111211
6201420052000
724261013362
oct5422120000
91823003430
10742957056
1135141a6a6
12188994000
13babccb7a
147095ad32
154535a656
hex2c48a000

742957056 has 112 divisors (see below), whose sum is σ = 2201875200. Its totient is φ = 247578624.

The previous prime is 742957049. The next prime is 742957091. The reversal of 742957056 is 650759247.

742957056 is a `hidden beast` number, since 7 + 4 + 29 + 570 + 56 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 219505 + ... + 222863.

It is an arithmetic number, because the mean of its divisors is an integer number (19659600).

Almost surely, 2742957056 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 742957056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1100937600).

742957056 is an abundant number, since it is smaller than the sum of its proper divisors (1458918144).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

742957056 is an equidigital number, since it uses as much as digits as its factorization.

742957056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3394 (or 3364 counting only the distinct ones).

The product of its (nonzero) digits is 529200, while the sum is 45.

The square root of 742957056 is about 27257.2385982146. The cubic root of 742957056 is about 905.7073744668.

The spelling of 742957056 in words is "seven hundred forty-two million, nine hundred fifty-seven thousand, fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 128 144 192 216 256 288 384 432 512 576 768 864 1024 1152 1536 1728 2048 2304 3072 3359 3456 4096 4608 6144 6718 6912 8192 9216 10077 12288 13436 13824 18432 20154 24576 26872 27648 30231 36864 40308 53744 55296 60462 73728 80616 90693 107488 110592 120924 161232 181386 214976 221184 241848 322464 362772 429952 483696 644928 725544 859904 967392 1289856 1451088 1719808 1934784 2579712 2902176 3439616 3869568 5159424 5804352 6879232 7739136 10318848 11608704 13758464 15478272 20637696 23217408 27516928 30956544 41275392 46434816 61913088 82550784 92869632 123826176 185739264 247652352 371478528 742957056